GCF of 1452/238, 2520/804
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1452/238, 2520/804 i.e 12/95676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1452/238, 2520/804.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1452/238,2520/804?
Given fractions are 1452/238,2520/804
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 1452/238,2520/804, numerators are 1452,2520
Denominators are 238,804
The GCF of 1452,2520 is 12 .
LCM of 238,804 is 95676.
The greatest common factor of 1452/238,2520/804 = [GCF of 1452,2520]/[LCM of 238,804]= 12/95676
Therefore, the GCF of 1452/238,2520/804 is 12/95676.
To find the highest common factor of 1452,2520, we have to find the factors of both numbers and list the highest common factor.
The factors of 1452 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 121, 132, 242, 363, 484, 726, 1452
The factors of 2520 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520
The HCF of 1452,2520 is 12.
Lets's calculate GCF of 1452,2520
| 2 | 1452, 2520 |
| 2 | 726, 1260 |
| 3 | 363, 630 |
| 121, 210 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 1452,2520 By Matching Biggest Common Factor Method
Now, list down the factors of 1452
:1,2,3,4,6,11,12,22,33,44,66,121,132,242,363,484,726,1452
Now, list down the factors of 2520
:1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,28,30,35,36,40,42,45,56,60,63,70,72,84,90,105,120,126,140,168,180,210,252,280,315,360,420,504,630,840,1260,2520
Greatest Common Factor
We found the factors 1452,2520 . The biggest common factor number is the GCF number.
So the greatest common factor 1452,2520 is 12.
Lets's calculate LCM of 238,804
| 2 | 238, 804 |
| 119, 402 |
∴ So the LCM of the given numbers is 2 x 119 x 402 = 95676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/95676
Therefore, the GCF of Fractions 1452/238,2520/804 is 12/95676
Least Common Multiple of 238,804 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 238,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,804) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(238,804) x common factors =2 x 1 = 2
LCM(238,804) = ( 238 × 804 ) / 2
LCM(238,804) = 191352 / 2
LCM(238,804) = 95676
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FAQs on GCF of Fractions of 1452/238, 2520/804
1. What is the HCF of 1452,2520?
The HCF of 1452,2520 is 12
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 1452/238, 2520/804?
Answer: GCF of Numerators as per given numbers 1452/238, 2520/804 is
GCF of Numerators i.e. for 1452,2520 is 12
LCM of denominators i.e. for 238,804 is 95676.
Thus, GCF of Fractions is 12/95676.Finally, GCF of Fractions for 1452/238, 2520/804 is 12/95676.